90288588 has 54 divisors (see below), whose sum is σ = 229211892. Its totient is φ = 27649440.

The previous prime is 90288563. The next prime is 90288599. The reversal of 90288588 is 88588209.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 427803 + ... + 428013.

Almost surely, 2^90288588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90288588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114605946).

90288588 is an abundant number, since it is smaller than the sum of its proper divisors (138923304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90288588 is a wasteful number, since it uses less digits than its factorization.

90288588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 90288588 is about 9502.0307303229. The cubic root of 90288588 is about 448.6189560540.

Multiplying 90288588 by its sum of digits (48), we get a square (4333852224 = 65832²).

The spelling of 90288588 in words is "ninety million, two hundred eighty-eight thousand, five hundred eighty-eight".